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Finding the Third Proportional to 631,466 and 965,995

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Solution

The third proportional to 631,466 and 965,995 is: 1,477,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,466 : 965,995 = 965,995 : x
  2. Step 2: Convert to fraction form
    631,466/965,995 = 965,995/x
  3. Step 3: Cross multiply
    631,466x = 965,995 × 965,995
  4. Step 4: Simplify right side
    631,466x = 933,146,340,025
  5. Step 5: Solve for x
    x = 933,146,340,025/631,466
  6. Step 6: Final answer
    x = 1,477,745.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.